A small university enrolls in-state and out-of-state students. The number of students enrolled to their most recent freshman class was 243. The school reported that it enrolled seven in-state students for every two out-of-state students. How many of each type of student was enrolled in freshman class ?
please answer this as soon as you can and i will give you a brainliest.
thanks :)
Answer:
In-State = 189
Out-of State = 54
Step-by-step explanation:
In-State = 7
Out-of State = 2
In-State
7/9 = x/243
= 189
Out-of State
2/9 = x/243
= 54
Write an equation in slope-intercept form of the line that passes through the given point and is
perpendicular to the graph of the given equation.
(5,0); y+1=2(x-3)
Answer:
[tex]y=\frac{-1}{2}x +\frac{5}{2}[/tex]
Step-by-step explanation:
Slope intercept form looks like y=mx+b
The slope (m) needs to be the opposite reciprocal of 2, because the line needs to be perpendicular the given line. Therefore, m = -1/2
We can write the equation in point-slope form first because we're given a point and now we have the slope. The equation would be [tex]y-0=\frac{-1}{2} (x-5)[/tex]
Rewriting, we get [tex]y=\frac{-1}{2}x +\frac{5}{2}[/tex]
Write the slope perpendicular to y=-5/4x+1
Answer:
the slope is -4/5
Step-by-step explanation:
to find a perpendicular slope, you take the opposite of the reciprocal of the slope, if I remember correctly.
Which expressions are equivalent to square root 1188x^5? Check all that apply
Answer: a,c,f
Step-by-step explanation:
HELP !!!! Find tan A for the triangle below.
A. 0.8
B. 0.6
C. 1.33
D. 0.75
Step-by-step explanation:
tanA = Opposite / Adjacent = 6/8 = 0.75 (D).
Answer:
D. 0.75 or 3/4
Step-by-step explanation:
tan A = opposite over adjacent
tan A = 6/8
= 3/4
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Answer:
A
Step-by-step explanation:
Answer:
A) y ≥ 350x + 17,000
Step-by-step explanation:
If 17,000 is the original, you won't multiply or divide it by x. But since it goes up by at least 350 each year you will multiply by x.
So to set it up, you will have 350x + 17,000, and since it's at least, you will have a great than or equal to sign (≥)
y ≥ 350x + 17,000
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Solve the following equation. Then place the correct number in the box provided.
x+6-5=8-2
A 5-m ladder is resting against a wall. The
base of the ladder is 2 m along the ground
from the base of the wall. What angle does
the base of the ladder make with the ground?
Express your answer to the nearest tenth of a
degree.
The graph shows the savings in Andre’s bank account.
1. What is the slope of the line?
Fill in the blank: The slope means that Andre is saving
__ per __
HELP ASAPP
Answer:
The slope is 1/5
Andre is saving 4 dollars per week.
Step-by-step explanation:
(Driver's Ed) Once in an intersection,
A) You may not make any lane change
B) You must be in the center lane to turn
C) You may make any lane changes you desire
D) You can change your mind about turning
An equipment rental company charges $40 per day to rent a trench digger. A construction crew rented a trench digger for 6 days and paid 270. Write a linear equation in slope-intercept form that represents the total cost to rent the trench digger as a function of the number of days.
What should x and y equal, what is the y-intercept, and what is the equation
Answer:
Please check the explanation.
Step-by-step explanation:
We know that the slope-intercept form of the line equation is
[tex]y=mx+b[/tex]
where m is the slope or rate of change and b is the y-intercept
Let 'x' be the number of daysLet 'y' be the total costAn equipment rental company charges $40 per day to rent a trench digger.
It means the rate of change = $40 per day
We know that the rate of change is also termed as the slope.
Thus,
m = 40
Given that a construction crew rented a trench digger for 6 days and paid 270.
It means at x = 6, y = 270
substituting (x, y) = (6, 270) and m = 40 in the slope-intercept form to determine the y-intercept 'b'
y = mx+b
270 = 40(6) + b
270 = 240 + b
b = 270 - 240
b = 30
Thus, the y-intercepy b = 30
Now, substituting m = 40 and b = 30 in the slope-intercept form
y = mx + b
y = 40x + 30
Thus, the equation of line in the slope-intercept form is
y = 40x + 30
VERIFICATION:
Put x = 6, in the equation to determine the total cost for 6 days
y = 40x + 30
y = 40(6) + 30
y = 240 + 30
y = $270
Thus, the total cost for days rent = $270
Therefore, x must be equal to 6 i.e. x = 6 to find the total cost i.e. y = 270.
An equation of a line through (11, 12) which is perpendicular to the line y=3x+1 has slope: ____Blank____
and y -intercept at
____Blank____
Answer:
the slope is 3 and 1 and the y intercept is 1 and 1
Step-by-step explanation:
What is the slope of the line?
Amazon bought a tv for $500, they marked up the price 20%, what was the
TV selling for? *
the equation of the line a is given as y = -3/4 x -2. Suppose the line a is parallel to line b and lime t is perpendicular to line a. Point (0, 5) lines on both line b and line t.
Answer:
equation 'b': y = -3/4x + 5
equation 't': y = 4/3x - 2
Step-by-step explanation:
parallel lines must have the same slope
the slope of perpendicular lines must be opposite and reciprocal
At your birthday, 38 of the 24 guests were relatives. How many of the guests were NOT relatives?
Answer:
15 guests were not relative.
Step-by-step explanation:
It is given that,
At your birthday, 3/8 of the 24 guests were relatives.
No of relatives,
[tex]=\dfrac{3}{8}\times 24\\\\=9[/tex]
So, there are 9 relative at the party.
No of guests that are not relative,
= 24 - 9
= 15
Hence, 15 guests were not relative.
I will mark BRAINLIEST IF CORRECT
ignore what i selected please help me
Answer:
- 5/4
Step-by-step explanation:
What is the constant rate of change between the values of x and y in the table?
The answer is -3/2. ( I used the formula y/x)
Write the number "five hundredths, six thousandths, forty-two millionths" as a decimal.
Answer:
0.0560042
Step-by-step explanation:
if a person weighs 120 on earth and 106 on Venus how much would a person weighing 180 on earth weigh on venus
Answer:
166
Step-by-step explanation
If you subtract 106 from 120 you get 14 so then you take that and you subtract 14 from 180 hope this helps
Answer:
166
Step-by-step explanation:
hope this helps
PLEASE HELP ME!! An eagle eats 6 pounds of food every 8 days.How long does it take the eagle to eat 90 pounds of food
Answer:
15 days
Step-by-step explanation:
8 days equals 48 pounds of foods. 48 times 2 will be 96 and that equals 16 days. Subtract 6 from 96 and you get 90 but you have to subtract a day as well.
Answer:
120 days
Step-by-step explanation:
6/8 = 0.75 meaning the eagle eats 0.75 pounds of food every day.
90/0.75=120 days
Bobby hit the wrong lever and as a result the factory produced way too many cheese puffs. If the factory managers decide to to give away 1/3 of 1/9 of a ton away as samples, what fraction of a ton did they give away? Make sure you answer is fully reduced.
Given:
The factory managers decide to to give away [tex]\dfrac{1}{3}[/tex] of [tex]\dfrac{1}{9}[/tex] of a ton away as samples.
To find:
what fraction of a ton did they give away?
Solution:
According to the question, the factory managers decide to to give away [tex]\dfrac{1}{3}[/tex] of [tex]\dfrac{1}{9}[/tex] of a ton away as samples. So,
[tex]\text{Samples}=\dfrac{1}{3}\left(\dfrac{1}{9}(1\text{ ton})\right)[/tex]
[tex]\text{Samples}=\dfrac{1}{3}\times \dfrac{1}{9}\times (1\text{ ton})[/tex]
[tex]\text{Samples}=\dfrac{1}{27}\times (1\text{ ton})[/tex]
[tex]\text{Samples}=\dfrac{1}{27}(1\text{ ton})[/tex]
So, samples is [tex]\dfrac{1}{27}[/tex] of a ton.
Therefore, they give away [tex]\dfrac{1}{27}[/tex] of a ton as samples.
in a circle what is the ratio of the circumference to its diameter
Answers to pick from: A.are B.radious C.volume D.pi
Pleas answer it fast if you dont know it pleas dont answer.
Answer:
if i remember from last year..
Step-by-step explanation:
Its B. Radius** i think you misspelled it
Jordan is makinga garden
with an area of x^2 2+13x+
30 square feet and a length
of x +3 feet. Find an
expression for the width of
Jordan's garden
Answer:
( x + 10 )
Step-by-step explanation:
→ Divide x² + 13x + 30 by x + 3
( x + 3 ) ( x + 10 )
During a nature walk Jill identified 20 species of animals and plants she said that 1/3 of the species she identified were animals can this be correct?
Find the y-intercept
- 74 - 7y = -7%
Answer: -75
Step-by-step explanation:
The perimeter of a rectangle is 30 cm and its length is x cm. Find its area in terms of x. step by step explanation.
Answer:
The area of the rectangle in terms of 'x' = 13x
Step-by-step explanation:
Perimeter = 30 cmLength = x cmUsing the perimeter formula to find the width w.
[tex]P=2(l+w)[/tex]
[tex]P = 2l + 2w[/tex]
[tex]2w = P-2l[/tex]
Dividing both sides by 2
[tex]w\:=\:\frac{P}{2}-2[/tex]
as P = 30 cm
[tex]w\:=\:\frac{30}{2}-2[/tex]
[tex]w\:=\:15-2[/tex]
[tex]w = 13[/tex] cm
Using the formula of the rectangle area
[tex]A = wl[/tex]
substitute w = 13 and l = x in the formula
[tex]A=13\times \:x[/tex]
[tex]A = 13x[/tex]
Therefore, the area of the rectangle in terms of 'x' = 13x
there are Thirty coins and they are all dimes and nickels, and they are worth $2.60. How many nickles and dimes are there
Va rog rezolvati cu operatii.
Answer:
can you translate that to english
Step-by-step explanation:
P(x)=-3+4x when x=-2,0, and 5